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340013230113303 = 331737157701181913
BaseRepresentation
bin100110101001111010111111…
…1110011001100001000010111
31122120212221120121122222202000
41031103311333303030020113
5324031234043402111203
63203051531015450343
7131422100544615525
oct11523657763141027
91576787517588660
10340013230113303
119937a88a2aa52a
1232174a129869b3
131179515793cc96
145dd6a2a05b315
1529497cecd44a3
hex1353d7fccc217

340013230113303 has 128 divisors (see below), whose sum is σ = 552047459408640. Its totient is φ = 205958146867200.

The previous prime is 340013230113301. The next prime is 340013230113307. The reversal of 340013230113303 is 303311032310043.

340013230113303 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 323 + 0 + 1 + 1 + 330 + 3 = 666.

It is not a de Polignac number, because 340013230113303 - 21 = 340013230113301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340013230113301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1869007075 + ... + 1869188987.

It is an arithmetic number, because the mean of its divisors is an integer number (4312870776630).

Almost surely, 2340013230113303 is an apocalyptic number.

340013230113303 is a deficient number, since it is larger than the sum of its proper divisors (212034229295337).

340013230113303 is a wasteful number, since it uses less digits than its factorization.

340013230113303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182834 (or 182828 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 340013230113303 its reverse (303311032310043), we get a palindrome (643324262423346).

The spelling of 340013230113303 in words is "three hundred forty trillion, thirteen billion, two hundred thirty million, one hundred thirteen thousand, three hundred three".

Divisors: 1 3 9 17 27 37 51 111 153 157 333 459 471 629 701 999 1413 1887 2103 2669 4239 5661 5809 6309 8007 11917 16983 17427 18927 24021 25937 35751 52281 72063 77811 98753 107253 110057 156843 181913 233433 296259 321759 330171 440929 545739 700299 888777 990513 1322787 1637217 1870969 2666331 2971539 3092521 3968361 4072109 4911651 5612907 6730781 9277563 11905083 12216327 16838721 20192343 27832689 28560341 36648981 50516163 60577029 69225853 83498067 85681023 109946943 114423277 127521013 181731087 207677559 257043069 343269831 382563039 485525797 623032677 771129207 1029809493 1056732617 1147689117 1456577391 1869098031 2167857221 3089428479 3170197851 3443067351 4369732173 4718277481 6503571663 9510593553 13109196519 14154832443 17964454489 19510714989 20020799041 28531780659 42464497329 53893363467 58532144967 60062397123 80210717177 127393491987 161680090401 180187191369 240632151531 340353583697 485040271203 540561574107 721896454593 740769564517 1021060751091 2165689363779 2222308693551 3063182253273 6666926080653 9189546759819 12593082596789 20000778241959 37779247790367 113337743371101 340013230113303